The generator matrix

 1  0  0  0  1  1  1  1 X+2 X^2+X  0  1 X+2  1  1 X^2+X X+2  1  1  1  1  1  2  1 X^2 X^2+2  2  1 X^2+X+2  1  1  1  1 X^2+X+2  X X^2+2  1  1 X^2+X+2 X+2  1  X  1 X^2+X X^2+2 X^2+2  1 X^2+X X^2  1  1  1  1 X^2+2  1  0  1  1  1  0  1  1  1 X^2+X+2  1  1
 0  1  0  0  X X^2+1 X^2+X X^2+X+3  1 X+2  1 X+3  1  3 X^2  0 X^2  2  3 X+3 X^2+X+1 X^2+3  0 X^2+X+2  1  1  1 X+2  1 X^2+X+3  X X^2+2 X+1  1  1  X X^2+X+2  1  1  1 X+2 X^2+X+2  3  1  1  0 X+1  X X+2 X^2+3  3  2 X^2+X X^2+X X^2+X+2  1 X^2 X^2+X+3 X+1  1 X^2+2 X^2  X  1  2  0
 0  0  1  0  0  2 X+3 X+1 X+1  1  1  1  2 X^2 X^2+X+1 X^2+2  1 X^2+X X+2 X+3 X^2+3  X  1 X+3  3 X^2+X+2 X+1 X+2  0 X^2+X+2 X^2+2  1 X^2+3 X^2+1 X^2+1  1  1  3 X+2  X X+1  2 X^2 X^2+3  X  1 X+2  X  1 X^2 X^2+X+3  0 X^2+X X+2 X+2  X X+3 X^2+1 X^2+2 X+3 X+2 X^2+1 X^2+X+2  3 X^2+X+1  0
 0  0  0  1  1 X+3 X^2+X+1 X^2+1  2 X^2+X+3  1 X^2+X X^2+1 X+2 X^2+2  1  X X^2+3 X^2+X X^2+X+2  3 X+1 X^2+3 X^2+2 X^2+X+2 X+3  1 X+2 X^2+X+2  X X^2+X+3 X+3  2  1 X+2  0 X+2 X^2+1 X^2+3 X^2+2 X^2+1  1  2  0  2 X^2+X+1  1  1 X^2+X X^2+2  X  1  3  1  0  1  1 X^2+X+3 X+3 X^2+X+2 X^2+X X^2+X+2 X+1 X^2+X+3 X^2+3  0
 0  0  0  0  2  2  2  2  0  2  2  0  2  0  0  2  0  2  0  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  2  2  2  0  0  2  0  0  2  2  0  0  0  2  2  0  2  2  0  2  0  0  0  0  0  2  2  0  0  0  2  2

generates a code of length 66 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+102x^58+952x^59+2230x^60+4354x^61+7866x^62+9890x^63+14411x^64+15786x^65+19418x^66+16394x^67+15474x^68+9762x^69+6758x^70+3922x^71+2224x^72+936x^73+320x^74+160x^75+36x^76+40x^77+16x^78+8x^79+8x^80+2x^81+2x^83

The gray image is a code over GF(2) with n=528, k=17 and d=232.
This code was found by Heurico 1.16 in 147 seconds.